Is there any way to copy diagrams into different projects?
in the model explorer view, you can copy a model, then open another star uml with your other project and in the model explorer view, you can now paste the model you have copied.
You can export / import fragments, which are items in the model (in file menu, version 2.5)
You can copy-paste elements only one-by-one. But you should work with Model Elements. Review please, first method works for me, but the second
Procedure for Copying and Pasting View Elements in Diagram
unfortunately doesn't.
ADDED
Also you can Export - Import entire diagram as XMI
Here is bug-report.